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52483968 = 2732291571
BaseRepresentation
bin1100100000110…
…1011110000000
310122202110110200
43020031132000
5101413441333
65112525200
71205051325
oct310153600
9118673420
1052483968
1127697a89
12156b0800
13ab47c04
146d82b4c
15491ac13
hex320d780

52483968 has 96 divisors (see below), whose sum is σ = 156335400. Its totient is φ = 16880640.

The previous prime is 52483967. The next prime is 52483969. The reversal of 52483968 is 86938425.

It is an interprime number because it is at equal distance from previous prime (52483967) and next prime (52483969).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (414720) is a multiple of the sum of its prime factors (1620).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52483967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32623 + ... + 34193.

Almost surely, 252483968 is an apocalyptic number.

52483968 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52483968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78167700).

52483968 is an abundant number, since it is smaller than the sum of its proper divisors (103851432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

52483968 is a wasteful number, since it uses less digits than its factorization.

52483968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1620 (or 1605 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 52483968 is about 7244.5819755180. The cubic root of 52483968 is about 374.4055006862.

It can be divided in two parts, 5248 and 3968, that added together give a square (9216 = 962).

The spelling of 52483968 in words is "fifty-two million, four hundred eighty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 261 288 348 384 464 522 576 696 928 1044 1152 1392 1571 1856 2088 2784 3142 3712 4176 4713 5568 6284 8352 9426 11136 12568 14139 16704 18852 25136 28278 33408 37704 45559 50272 56556 75408 91118 100544 113112 136677 150816 182236 201088 226224 273354 301632 364472 410031 452448 546708 603264 728944 820062 904896 1093416 1457888 1640124 1809792 2186832 2915776 3280248 4373664 5831552 6560496 8747328 13120992 17494656 26241984 52483968